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Find the equation of the normal to the curve y=x² – 4x + 5 at the point (4,5)

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Kavungya answered the question on November 1, 2019 at 10:02

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Next: Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent...

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Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent... (Solved)

Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent who deals in Japanese yen. The agent will charge him 20% commission on the price of the car and a further 80325 Japanese yen for shipment of the car. How many Kshs will he need to send to the agent to get the car given that
1 US $ = 105.00 Japanese yen
1 US $ = KShs 63.00

Date posted: November 1, 2019 . Answers (1)
ABCD is a parallelogram. DAB=124^o. The bisectors of angle BCD and angle ADC meet at x. Find angle DXC (Reflex) (Solved)

ABCD is a parallelogram. DAB=124^o. The bisectors of angle BCD and angle ADC meet at x. Find angle DXC (Reflex)

Date posted: November 1, 2019 . Answers (1)
Find the inequalities that defines the region marked R in the diagram below. (Solved)

Find the inequalities that defines the region marked R in the diagram below.

Date posted: November 1, 2019 . Answers (1)
(a) Construct triangle PQR where PQ = 6cm, QR = 9cm and PR = 8cm. (b)Drop a perpendicular from P to meet QR at M. Measure... (Solved)

(a) Construct triangle PQR where PQ = 6cm, QR = 9cm and PR = 8cm.
(b)Drop a perpendicular from P to meet QR at M. Measure PM hence calculate the area of
triangle PQR

Date posted: November 1, 2019 . Answers (1)
Evaluate (Solved)

Evaluate

Date posted: November 1, 2019 . Answers (1)
Simplify the expression and hence solve the equation (Solved)

Simplify the expression and hence solve the equation

Date posted: November 1, 2019 . Answers (1)
Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R. a)Given... (Solved)

Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
a)Given that P = 20 when Q = 5 and R = 9. Find P when Q = 7 and R = 25
b)If Q increased by 20% and R decreased by 36%, find the percentage change in P

Date posted: October 30, 2019 . Answers (1)
a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at... (Solved)

a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at sh.240 per kg.
i)Find the percentage profit
ii)In what ratio should the two blends be mixed to get a mixture that costs sh.148 per kg
b)A quantity P is partly constant and partly varies as the cube of Q. when Q = 2, P = 50 and when Q =4, P =330. Find the value of Q when P= 16885

Date posted: October 30, 2019 . Answers (1)
An aircraft leaves town P(30⁰S,14⁰W) and moves directly east to town Q at a speed of 270 knots for 12 hours. Determine; a)The distance moved in... (Solved)

An aircraft leaves town P(30⁰S,14⁰W) and moves directly east to town Q at a speed of 270 knots for 12 hours. Determine;
a)The distance moved in nautical miles
b)The distance moved in km (take 1nm = 1.853km)
c)The position of town Q
d)The local time at Q if the local time at P is 9.13pm. Give the answer to the nearest minute.

Date posted: October 30, 2019 . Answers (1)
The table below shows the ages in years of 60 candidates who vied on a political party for parliamentary elections in a certain country as... (Solved)

The table below shows the ages in years of 60 candidates who vied on a political party for parliamentary elections in a certain country as recorded in a computer program.

Calculate;
a)The mean
b)The interquartile range of the data
c)The percentage of candidates whose ages were 54.5 years and below
d)The variance and standard deviation of the distribution using 44.5 as the working mean.

Date posted: October 30, 2019 . Answers (1)
The major arc of a circle subtends on an angle of 240⁰ at the centre of circle. Given that the, length of the arc is... (Solved)

The major arc of a circle subtends on an angle of 240⁰ at the centre of circle. Given that the, length of the arc is 88cm calculate the diameter of the circle.

Date posted: October 30, 2019 . Answers (1)
Identify the stationery points of the curve y = x³ – 6x² + 9x – 4 and state their nature. (Solved)

Identify the stationery points of the curve y = x³ – 6x² + 9x – 4 and state their nature.

Date posted: October 30, 2019 . Answers (1)
Three athletes, James David and Geoffrey are in a race. James is twice as likely to win as David while David is thrice as likely... (Solved)

Three athletes, James David and Geoffrey are in a race. James is twice as likely to win as David while David is thrice as likely to win as Geoffrey. Find the probability that.
a)Geoffrey wins the race
b)James does not win the race.

Date posted: October 30, 2019 . Answers (1)
Solve for theta in the domain 0⁰<=theta<= 360⁰2cos²theta = -0.7071 (Solved)

Solve for theta in the domain 0⁰=theta= 360⁰
2cos²theta = -0.7071

Date posted: October 30, 2019 . Answers (1)
The velocity (V) of a roller-scatter on a straight road is given by V= 3t² + 5t – 8 m/s where t is time in... (Solved)

The velocity (V) of a roller-scatter on a straight road is given by V= 3t² + 5t – 8 m/s where t is time in seconds. Find his acceleration at time t=2 second.

Date posted: October 30, 2019 . Answers (1)
A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money... (Solved)

A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money to double.

Date posted: October 30, 2019 . Answers (1)
Find the quartile deviation of the following data. 8,10,2,7,5,9,6,12,4,6,3,7 (Solved)

Find the quartile deviation of the following data. 8,10,2,7,5,9,6,12,4,6,3,7

Date posted: October 30, 2019 . Answers (1)
Use logarithm tables to evaluate the following to four significant figures. (Solved)

Use logarithm tables to evaluate the following to four significant figures.

Date posted: October 30, 2019 . Answers (1)
The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter... (Solved)

The diagram represents a solid hemispherical dome of diameter 42cm. The dome is painted on all faces at a cost of sh.500 per square meter and has a mass of 48.5kg.

Calculate:
a)The total surface area of the dome.
b)The cost of painting the dome.
c)The volume of the material making the dome.
d)The density of the material in kg/m³ to 2 significant figures.

Date posted: October 30, 2019 . Answers (1)
The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST... (Solved)

The diagram below is a circle with centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST is a cyclic quadrilateral in which angle RTS = 35⁰ and RT and QS are diameters. Giving reasons for your answer, find the size of:

a)Acute angle ROS.
b)Angle RQS.
c)Angle PQR.
d)Angle QPT.
e)Angle PQT.

Date posted: October 29, 2019 . Answers (1)